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Finding the Fourth Proportional to 627.46, 945.84 and 592.10

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Solution

The fourth proportional to 627.46, 945.84 and 592.10 is: 892.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    627.46 : 945.84 = 592.10 : x
  2. Step 2: Convert to fraction form
    627.46/945.84 = 592.10/x
  3. Step 3: Cross multiply
    627.46x = 945.84 × 592.10
  4. Step 4: Simplify right side
    627.46x = 560,031.86
  5. Step 5: Solve for x
    x = 560,031.86/627.46
  6. Step 6: Final answer
    x = 892.54

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.